5955681600 has 672 divisors, whose sum is σ = 24128455680. Its totient is φ = 1416960000.

The previous prime is 5955681593. The next prime is 5955681601. The reversal of 5955681600 is 61865595.

It is a happy number.

5955681600 is a `hidden beast` number, since 595 + 56 + 8 + 1 + 6 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5955681601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 39441525 + ... + 39441675.

It is an arithmetic number, because the mean of its divisors is an integer number (35905440).

Almost surely, 2^5955681600 is an apocalyptic number.

5955681600 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5955681600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12064227840).

5955681600 is an abundant number, since it is smaller than the sum of its proper divisors (18172774080).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

5955681600 is a wasteful number, since it uses less digits than its factorization.

5955681600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276 (or 255 counting only the distinct ones).

The product of its (nonzero) digits is 324000, while the sum is 45.

The square root of 5955681600 is about 77173.0626578990. The cubic root of 5955681600 is about 1812.6355386553.

The spelling of 5955681600 in words is "five billion, nine hundred fifty-five million, six hundred eighty-one thousand, six hundred".